I am a little confuse by 유나 모텔. I doubt people call a fashion model "so-and-so model".
Typically they say 모델 아무개 씨, meaning "model so-and-so".
Anyway, I think the general rule of thumb is like this.
1) for general description like 배우, 가수, 모델, 방송인, 회사원, 교사, etc, you put the description first.
Ex) 가수 비 씨, 영화배우 김태희 씨, 모델 이소라 씨, ...
2) a specific job title in an organization is placed after the name.
Ex) 김 부장(님), 박 과장, 최 대리, 조 원장, ...